Determine what will be the three positive numbers that its product is 27 and its sum is as small as possible

Q: Find two positive numbers, x and y, whose sum is 100 and whose product is as large as possible.

A: Let the two positive numbers are x and y. Now, Their sum is 100. That is,          x+y=100⇒y=100-x

Q: Find two positive integers such that the sum of the first and five times the second number is 2000…

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Q: The sum of the digits of a 3 digit number is 14. The hundreds digit being 4 times the unit digit. If…

A: here we have to find the ten's place of the number. and according to question there is 3 digit…

Q: Find two positive numbers x and y whose product is maximum and 2x + y = 100.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If…

A: Number between 100 and 1000 is three digit number. Consider the first digit be x, middle digit be y…

Q: Find a product solution using separation of variables.

A: The given partial differential equation is                                         x∂u∂x=u+y∂u∂y

Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

A: The solution to the given question is explained below. We use partial differentiation technique to…

Q: A two digit number is four times the sum and three times the oorduct of it's digit .Find the number

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Q: The product of two consecutive positive even integers is 14 more than their sum. Find the integers.

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Q: Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: The product of two positive numbers is 16. Find the numbers if their sum is least.

A: Given the product of two positive numbers is 16

Q: Find two positive numbers such that the sum of twice the first number and three times the second…

A: Let one number be 'x' and other number be 'y'.  Given that sum of twice of one number and thrice of…

Q: The product of two consecutive interference is 13 less than five times their sum. Find the…

A: Consider the two consecutive integers as x and x + 1.Then, the sum and the product of the two…

Q: Find two numbers whose sum is 9 if the product of one by the square of the other is a maximum

A: Explanation of the answer is as follows

Q: Find two non-negative numbers such that the sum of two times the first and three times the second s…

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Q: The sum of the first and three times the second is 42.Find two positive real numbers whose product…

A: This question is taken from the application of derivative in which we have to find the two positive…

Q: Consider two positive whole numbers. One of the numbers is 3 less than twice the other number. Find…

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Q: Find three consecutive odd intergers such that the product of the two larger numbers is 18more than…

A: To form the equation satisfied by the required integers  and therby solve for them

Q: The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the…

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Q: Find three consecutive odd integers such that the sum of the first and second is 59 less than three…

A: Let the three consecutive odd integers be n-2, n and n+2.

Q: Find the two numbers whose sum is 15 if the product of the square of one by the cube of the other is…

A: Let us consider one of the numbers to be x. So, the other number will be 15-x. Now, the function…

Q: Find two positive numbers, x and y, whose product is 100 and whose sum is as small as possible.

A: Suppose x and y be the positive numbers whose product is 100 So, xy=100 Then, y=100x…

Q: Find three positive numbers that sum to 150 with the largest possible product of the three.

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Q: . Find the three positive numbers whose sum is 48 and whose product is as large as possible.…

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Q: Find three positive numbers that sum to 150 with the greatest possibleproduct of the three.

A: Given: we to find three numbers that sum to 150

Q: express 20 as the sum of two positive numbers such that x^3 + y^2 is as small as possible

A: To express 20 as the sum of two positive numbers such that x3+y2 is as small as possible. Let the…

Q: Find two numbers whose sum is 50 such that the square of one number plus six times the other number…

A: Let 'x' be the one number and the other number is (50-x).

Q: Find the two consecutive positive integers such that the square of the first is decreased by 17…

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Q: One positive integer is 4 less than twice another. The sum of their squares is 277. Find the…

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Q: Find two positive numbers whose sum is 84 and whose product is as big as possible.

A: It is number Problem.

Q: Find two positive numbers x and y , whose product is 900 and whose sum is as small as possible

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Q: Find two positive numbers whose product is 45 and for which the sum of one number and 6 times the…

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Q: A two digit number is four times the sum and three times the product of it's digits .find the number

A: We can find the answer as below

Q: The product of two consecutive positive odd integers is 399. The two integers are and Enter the…

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Q: Find the two positive numbers whose product is a maximum and the sum of one is five times the other…

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Q: The product of two positive numbers is 185. The smallest possible sum of those number is

A: Since,The prime factorization of 165 is 1Q5 =1X5 X37=5X37 ----1 From 1 it is clear that the two…

Q: Find the three consecutive integers such that that product of the first and third is one less than…

A: Take three consecutive integer as below :n-1, n , n+1

Q: The sum of two positive number is 16. What is the smallest possible value of the sum of their…

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Q: The product of two positive numbers is 288. Find the numbers which minimize the sum of the second…

A: Let the first number be x and second number be y. Product of number is 288. xy = 288 y =288x Let S…

Q: he sum of one number and four times the second is 24. Their product ust be as large as possible.…

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Q: Find two positive numbers such that the sum of the first and twice the second is 72 and whose…

A: Given the two positive numbers such that the sum of the first and twice the second is 72

Q: Find two positive numbers such that the sum of the first and twice the second is 96 and whose…

A: Let the first number be "x" and the second number be "y". The sum of the first and twice the second…

Q: Find two positive numbers that satisfy the given requirements. The product is 147 and the sum of the…

A: Let x and y be the required numbers. Now given that the product is 147. That is,

Q: Find two positive numbers whose sum is 9 and the product of one number and the square of the other…

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Q: Distribute $1000 into 3 parts so that one part will be three times as large as the second and the…

A: GivenTotal distribute=$1000

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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Q: If a positive number is decreased by 10, then it is 75 times of its reciprocal. Find the number.

A: Consider the positive number as x.When the number decreased by 10 (that is x –10) then it is 75…

Q: Find two numbers differing by 38 whose product is as small as possible

A: let  one number = x  as difference between numbers = 38 other number = x + 38   Product of two…

Q: The sum of three positive number is 30. The first plus twice the second plus three times the third…

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